Complete the paragraph proof.
given: m is the midpoint of pk
pk ⊥ mb
prove: △pkb...
Mathematics, 24.09.2019 09:00 gooberthebear8955
Complete the paragraph proof.
given: m is the midpoint of pk
pk ⊥ mb
prove: △pkb is isosceles
it is given that m is the midpoint of pk and pk ⊥ mb. midpoints divide a segment into two congruent segments, so pm ≅ km. since pk ⊥ mb and perpendicular lines intersect at right angles, ∠pmb and ∠kmb are right angles. right angles are congruent, so ∠pmb ≅ ∠kmb. the triangles share mb, and the reflexive property justifies that mb ≅ mb. therefore, △pmb ≅ △kmb by the sas congruence theorem. thus, bp ≅ bk because
(corresponding parts of congruent triangles are congruent)
(base angles of isosceles triangles are congruent)
(of the definition of congruent segments)
(of the definition of isosceles triangles)
finally, △pkb is isosceles because it has two congruent sides.
Answers: 1
Mathematics, 21.06.2019 15:00
Δabc is reflected across line l to form δ alblcl, and a¯¯¯al¯¯¯¯ intersects line l at point d. which equation is not necessarily true?
Answers: 3
Mathematics, 21.06.2019 16:20
Two positive integers are 3 units apart on a number line. their product is 108. which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108
Answers: 1
Mathematics, 22.06.2019 00:00
What is 617.3 miles and each gallon of gas the car can travel 41 miles select a reasonable estimate of the number of gallons of gas karl used.
Answers: 1
History, 25.08.2019 12:50
Chemistry, 25.08.2019 12:50
Mathematics, 25.08.2019 12:50
English, 25.08.2019 12:50
Biology, 25.08.2019 12:50
History, 25.08.2019 12:50
Mathematics, 25.08.2019 12:50
History, 25.08.2019 12:50